**Question:**

prove that n(n2-1) is div by 24

Note: n is odd and >=3

**Solution:**

for odd Ns,

(N-1) - is even, so div by 2 (smallest is 2)

N is odd

(N+1) - is even, next num div by 2 (smallest is 4=2x2)

(N-1) - is even, so div by 2 (smallest is 2)

N is odd

(N+1) - is even, next num div by 2 (smallest is 4=2x2)

N(N+1) is div by 3

So, 2x 2x2 x3 = 24 is a factor

So, 2x 2x2 x3 = 24 is a factor

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